<h2>题目编号 : 276</h2>
<div style="color:#666;font-size:80%;">29 January 2010</div><br />
<div class="problem_content">
<p>Consider the triangles with integer sides a, b and c with a <img src='images/symbol_le.gif' width='10' height='12' alt='&le;' border='0' style='vertical-align:middle;' /> b <img src='images/symbol_le.gif' width='10' height='12' alt='&le;' border='0' style='vertical-align:middle;' /> c.<br />
An integer sided triangle (a,b,c) is called primitive if <dfn title=" gcd(a,b,c)=gcd(a,gcd(b,c))"> gcd(a,b,c)</dfn>=1. <br />
How many primitive integer sided triangles exist with a perimeter not exceeding 10 000 000?
</p>





</div><br />
